Topological transitive Abelian subgrouns of GL(n,R)
We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in R^n. For finitely generated subgroups, this characterization is explicit and it is used to show that no abelian subgroup of GL(n, R) generated by [ (n+1)/2 ] matrices can have a dense orb...
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| creator | Ayadi, Adlene Marzougui, Habib Salhi, Ezzeddine |
| description | We give a complete characterization of abelian subgroups of GL(n, R) with a
locally dense (resp. dense) orbit in R^n. For finitely generated subgroups,
this characterization is explicit and it is used to show that no abelian
subgroup of GL(n, R) generated by [ (n+1)/2 ] matrices can have a dense orbit
in R^n. ([ ] denotes the integer part). |
| doi_str_mv | 10.48550/arxiv.1011.0178 |
| format | Article |
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locally dense (resp. dense) orbit in R^n. For finitely generated subgroups,
this characterization is explicit and it is used to show that no abelian
subgroup of GL(n, R) generated by [ (n+1)/2 ] matrices can have a dense orbit
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this characterization is explicit and it is used to show that no abelian
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locally dense (resp. dense) orbit in R^n. For finitely generated subgroups,
this characterization is explicit and it is used to show that no abelian
subgroup of GL(n, R) generated by [ (n+1)/2 ] matrices can have a dense orbit
in R^n. ([ ] denotes the integer part).</abstract><doi>10.48550/arxiv.1011.0178</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Topological transitive Abelian subgrouns of GL(n,R) |
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